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CBSE Class 9 Answered

describe potential energy for n point charges
Asked by Rahul Jaglan | 18 Oct, 2018, 09:26: PM
answered-by-expert Expert Answer
Let there are a number of point charges like q1, q2, q3, q4, q5  which are at a distance r1, r2, r3, r4, r5  respectively from point P as shown in figure.
 
Potential V1 at P due to point charge q1 is given by,  V1 = begin mathsize 12px style fraction numerator 1 over denominator 4 pi epsilon subscript 0 end fraction q subscript 1 over r subscript 1 end style ...............................(1)
Potential V2 at P due to point charge q2 is given by,  V2 = begin mathsize 12px style fraction numerator 1 over denominator 4 pi epsilon subscript 0 end fraction q subscript 2 over r subscript 2 end style.............................(2)
like this we can write respective potential for other charges.
 
By superposition principle, potential V at point for the given system of charges is given by,
 
V = V1+V2+V3+V4+V5 = begin mathsize 12px style fraction numerator 1 over denominator 4 pi epsilon subscript 0 end fraction open parentheses q subscript 1 over r subscript 1 plus fraction numerator begin display style q subscript 2 end style over denominator begin display style r subscript 2 end style end fraction plus fraction numerator begin display style q subscript 3 end style over denominator begin display style r subscript 3 end style end fraction plus fraction numerator begin display style q subscript 4 end style over denominator begin display style r subscript 4 end style end fraction plus fraction numerator begin display style q subscript 5 end style over denominator begin display style r subscript 5 end style end fraction close parentheses end style
Though here we have considered only 5 charges, this procedure can be extended to any number of charges.
Answered by Thiyagarajan K | 19 Oct, 2018, 03:32: AM

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